BY using eight eights and addition only can you make 1000?????/
Answer:
11
Step-by-step explanation:
Here the given function, f(t)=2t-3 By substituting t = 7 in the above equation, We get, (7)=2\times 7-3 =14-3 ( By multiplication )
=11 ( By subtraction ) Hence, the value of f(7) is 11 for the given function.
a. 39.71
b. 26.29
c. 39.71
d. 26.29
Workings Please.
1. A 210° sector of a circle of radius 10cm is used to make a cone. Find the radius of the base of the cone and it's height.
Answer: radius = 5.83 cm height = 8.12 cm
Step-by-step explanation:
First, let's find the circumference of the 210° section of the circle.
The circumference of the the cone is . We can use this to find the radius .
When you fold the 210° section into a cone, the slant height is the original radius of 10. We can use the radius and slant height of the cone to form a right triangle with the height. Use the Pythagorean Theorem to find the height.
radius² + height² = slant height²
Answer:
y = -1.2x² +6.6x +2
Step-by-step explanation:
The quadratic regression function of a calculator or spreadsheet can do this for you. The resulting function is ...
y = -1.2x² +6.6x +2
_____
If you want to do this by hand, put the given (x, y) values into the formula ...
ax² +bx +c = y
and solve the resulting system of equations.
The third point tells you c=2, so you can simplify the system of equations to ...
a(-2)² +b(-2) +2 = -16 ⇒ 4a -2b = -18 ⇒ 2a -b = -9
a(3)² +b(3) +2 = 11 ⇒ 9a +3b = 9 ⇒ 3a +b = 3
Adding these equations together gives ...
(2a -b) +(3a +b) = (-9) +(3)
5a = -6 . . . . . . . . simplify
a = -1.2 . . . . . . . divide by 5
b = 3 -3a = 3 -3(-1.2) = 6.6 . . . . from the second equation
Now we know the coefficients are a=-1.2, b=6.6, c=2, so the function is ...
y = -1.2x² +6.6x +2
x = –1
No Real Solutions
x = 11 and x = 1
x = 11
The solution to the quadratic equation x² - 12x + 11 = 0 is x = 11 and x = 1.
Given the quadratic equation in the question:
x² - 12x + 11 = 0
To solve the quadratic equation x² - 12x + 11 = 0 by completing the square, first the constant term to the other side of the equation:
x² - 12x + 11 = 0
x² - 12x + 11 - 11 = 0 - 11
x² - 12x = -11
Next, find the value that is equal to the square of half of b:
( b/2 )² = ( -12/2 )² = (-6)²
Add (-6)² to each side of the equation:
x² - 12x + (-6)² = -11 + (-6)²
x² - 12x + 36 = -11 + 36
x² - 12x + 36 = 25
Factor the perfect trinomial sqaure:
( x - 6 )² = 25
Solve for x:
x - 6 = ±√25
x - 6 = ±5
x = 6 ± 5
Hence, x = 6 - 5 = 1
And x = 6 + 5 = 11.
Therefore, the values of x are 1 and 11.
Learn more about quadratic equations here: brainly.com/question/1863222
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Answer:
Step-by-step explanation:
x^2 – 12x + 11 = 0
(x-11)(x-1)
x= 11, 1 completing the square